Iwasawa Theory of Elliptic Curves and
Galois Module Structure
A. Agboola 1
Mathematical Sciences Research Institute 2
1000 Centennial Drive
Berkeley, CA 94720
U. S. A.
1 Partially supported by an NSF Postdoctoral Research Fellowship.
2 Current address: Department of Mathematics, University of California, Berke
ley, CA 94720.
In this paper we apply techniques arising from Iwasawa theory to study the Galois
module structure of principal homogeneous spaces constructed via points of infinite
order on CM elliptic curves defined over a number field. This theory was introduced
by M.J. Taylor in [T1] (see also [ST], [CNS] and [CNT]) and is motivated by the
fact that such principal homogeneous spaces are very closely connected with certain
rings of integers.